Given numbers are 803,742,332,808,900

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 803,742,332,808,900 is 4495328422200.

Find LCM of 803,742,332,808,900 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 803 x 371 x 83 x 202 x 225 = 4495328422200

Therefore, the lowest common multiple of 803,742,332,808,900 is 4495328422200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

803 x 742 x 332 x 808 x 900 = 143850509510400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

803 : 1, 11, 73, 803

742 : 1, 2, 7, 14, 53, 106, 371, 742

332 : 1, 2, 4, 83, 166, 332

808 : 1, 2, 4, 8, 101, 202, 404, 808

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,742,332,808,900, is 1.

Now, the common factors can be found like this.

803:11x 73

742:2x 7x 53

332:2x 2x 83

808:2x 2x 2x 101

900:2x 2x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 143850509510400/(1x32)

LCM = 143850509510400/32

LCM = 4495328422200

Thus, we can understand that the LCM of 803,742,332,808,900 is 4495328422200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 770, 126, 511, 156, 936
• LCM of 709, 487, 316, 324, 783
• LCM of 665, 911, 423, 140, 308
• LCM of 116, 136, 441, 431, 437
• LCM of 598, 964, 377, 662, 219

1. What is the LCM of 803, 742, 332, 808, 900?

Answer: LCM of 803, 742, 332, 808, 900 is 4495328422200.

2. How to calculate the LCM of 803, 742, 332, 808, 900?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 803, 742, 332, 808, 900.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.